Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 7)
7.
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Answer: Option
Explanation:
| C.P. = Rs. |  |
100 | x 392 |  |
= Rs. | |
1000 | x 392 | |
= Rs. 320 |
| 122.5 | 1225 |
Profit = Rs. (392 - 320) = Rs. 72.
Video Explanation: https://youtu.be/a36nJFgh5yk
Discussion:
99 comments Page 2 of 10.
Anshuma Chugh said:
2 decades ago
122.5 is used by addint cost with profit,here in this formula 100/(100+22.5)*S.P we assume 100 as cost price and add 22.5 of 100 and then divide it to 100 so that ratio can be calculated and themn mutiply by any number that is S.p,r you gtng me if not then mail me at tulip_2dec@yahoo.co.in
Ruby said:
1 decade ago
If cost price is Rs100
Profit is 22.5% of cost price.
i.e. 100*22.5% = Rs.22.5
Selling price is 100+22.5 = 122.5
By unitary method if
S.P. is 122.5 then profit is 22.5
Thus if S.P. is Re.1 then profit is 22.5/122.5
And if S.P. is 392 then profit is (22.5/122.5)*392 = Rs 72.
Profit is 22.5% of cost price.
i.e. 100*22.5% = Rs.22.5
Selling price is 100+22.5 = 122.5
By unitary method if
S.P. is 122.5 then profit is 22.5
Thus if S.P. is Re.1 then profit is 22.5/122.5
And if S.P. is 392 then profit is (22.5/122.5)*392 = Rs 72.
Anusha Voleti said:
6 years ago
Given,
Gain%=22.5.
SP=392,
Profit =?.
We know that , profit = SP - CP.
Here CP = ?
We know that CP = (SP*100)/(100+gain).
So CP = (392 * 100)/(100+22.5) = 320.
Therefore profit = SP - CP.
= 392-320,
= 72.
Gain%=22.5.
SP=392,
Profit =?.
We know that , profit = SP - CP.
Here CP = ?
We know that CP = (SP*100)/(100+gain).
So CP = (392 * 100)/(100+22.5) = 320.
Therefore profit = SP - CP.
= 392-320,
= 72.
Rupali said:
5 years ago
SP = 392.
% of profit = 22.5.
Let CP =x.
profit = SP - CP = 392 - X,
%of profit = (392 - x )*100 / x = 22.5,
(392 - x )*100 = 22.5 x,
39200 - 100x = 22.5 x,
39200 = 122.5 x,
x = 39200/122.5,
x = 320.
Profit = 392 - 320 = 72.
% of profit = 22.5.
Let CP =x.
profit = SP - CP = 392 - X,
%of profit = (392 - x )*100 / x = 22.5,
(392 - x )*100 = 22.5 x,
39200 - 100x = 22.5 x,
39200 = 122.5 x,
x = 39200/122.5,
x = 320.
Profit = 392 - 320 = 72.
(3)
Vikas said:
7 years ago
Given G=22.5% on cost price.
Profit = ?
Profit =SP - CP.
CP is unknown.
Given SP = 392
SP = [(100+G%)*cp]/100,
CP = (SP*100)/(100+G%),
CP = (392*100)/(100+22.5),
CP = 320,
Profit = SP - CP.
Profit = 392 - 320,
Profit = 72.
Profit = ?
Profit =SP - CP.
CP is unknown.
Given SP = 392
SP = [(100+G%)*cp]/100,
CP = (SP*100)/(100+G%),
CP = (392*100)/(100+22.5),
CP = 320,
Profit = SP - CP.
Profit = 392 - 320,
Profit = 72.
Jithendra said:
4 years ago
Just simple formula
.
His sale was 392. So the selling price is 392.
C.P = ((100/100+gain) * S.P).
C.P = 100 * 392/100+22.5 => 39200/122.5,
C.P = 39200/122.5 => 320.
Profit = S.P - C.P.
Profit = 392-320 => 72.
.
His sale was 392. So the selling price is 392.
C.P = ((100/100+gain) * S.P).
C.P = 100 * 392/100+22.5 => 39200/122.5,
C.P = 39200/122.5 => 320.
Profit = S.P - C.P.
Profit = 392-320 => 72.
(34)
Om Prakash said:
9 years ago
Let C.P = x.
Therefore,
S.P = 22.5% of x + x.
=> (22.5/100) *x +x.
=> x((225/1000)+1).
=> x((9+40)/40).
=> 49x/40.
Acc to question,
(49x/40) = 392.
x = 15680/49.
x = 320.
Therefore, profit = 392 - 320.
=> 72 Ans.
Therefore,
S.P = 22.5% of x + x.
=> (22.5/100) *x +x.
=> x((225/1000)+1).
=> x((9+40)/40).
=> 49x/40.
Acc to question,
(49x/40) = 392.
x = 15680/49.
x = 320.
Therefore, profit = 392 - 320.
=> 72 Ans.
Gowtham said:
1 decade ago
Hai guys .......
All are know find profit percentage formula
%p=((sp-cp)/cp)*100
given sp=392
profit percentage is 22.5%
apply given value to formula
22.5=((392-x)/x)*100
x=320
profit=sp-cp
profit=392-320
Ans is 72.
All are know find profit percentage formula
%p=((sp-cp)/cp)*100
given sp=392
profit percentage is 22.5%
apply given value to formula
22.5=((392-x)/x)*100
x=320
profit=sp-cp
profit=392-320
Ans is 72.
Damodar Narayan said:
1 decade ago
PROFIT = S.P - C.P.
Shopkeeper expects a gain of 22.5% on his cost price.
i.e S.P = C.P + 22.5% of C.P.
= C.P(1+(22.5/100)).
S.P = 1.225 C.P.
His sale was of Rs. 392 i.e S.P = 392.
392 = 1.225 C.P.
C.P = 320.
Shopkeeper expects a gain of 22.5% on his cost price.
i.e S.P = C.P + 22.5% of C.P.
= C.P(1+(22.5/100)).
S.P = 1.225 C.P.
His sale was of Rs. 392 i.e S.P = 392.
392 = 1.225 C.P.
C.P = 320.
Mrs pallavi said:
1 decade ago
We have simple formula
s.p=(100+profit%)*c.p/100
392=(100+22.5)*c.p/100
392=(125)*c.p/100
392/122.5=c.p/100
3.2=c.p/100
therefore c.p=320
profit=s.p-c.p
=392-320
= 72
therefore profit is rs.72
s.p=(100+profit%)*c.p/100
392=(100+22.5)*c.p/100
392=(125)*c.p/100
392/122.5=c.p/100
3.2=c.p/100
therefore c.p=320
profit=s.p-c.p
=392-320
= 72
therefore profit is rs.72
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